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An automatic welding machine is being considered for use in the production process. It will be...

An automatic welding machine is being considered for use in the production process. It will be considered for purchase if it is successful on 80% of its welds. Otherwise, it will not be considered efficient. A test is to be conducted with a prototype that is to perform 8 welds. The machine will be accepted for manufacture if it misses less than 3 welds.

(a) What is the probability that a good machine will be rejected?

(b) What is the expected number of consecutive successful welds of a good machine?

Math   Statistics-And-Probability   
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Answer #1

a)

probability that a good machine will be rejected is

P(X<3) = P(X<=2) = ?

b)

Expected number of consecutive successful welds = n*p = 8*0.8=6.4

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